Question

A T shaped object with dimensions shown in the figure and with uniform linear mass distribution is lying on smooth floor.A force F is applied at the point P parallel to AB, such that object has onlytranslational motion without rotation.Find the location of P with respect to C

• A. $\frac{2l}{3}$
• B. l
• C. 4l/3
• D. 3l/2

Answer 1

The correct option is C

4l/3

In case of pure translational motion of object, the force should act act the centre of mass

$Y_{cm}=\frac{m\left(2I\right)+2m\left(I\right)}{3m}=\frac{4l}{3}$